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Finding the Fourth Proportional to 7,384.77, 11,078.51 and 2,454.71

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Solution

The fourth proportional to 7,384.77, 11,078.51 and 2,454.71 is: 3,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.77 : 11,078.51 = 2,454.71 : x
  2. Step 2: Convert to fraction form
    7,384.77/11,078.51 = 2,454.71/x
  3. Step 3: Cross multiply
    7,384.77x = 11,078.51 × 2,454.71
  4. Step 4: Simplify right side
    7,384.77x = 27,194,461.62
  5. Step 5: Solve for x
    x = 27,194,461.62/7,384.77
  6. Step 6: Final answer
    x = 3,682.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.